/* statistics/test_nist.c
*
* Copyright (C) 1996, 1997, 1998, 1999, 2000, 2007 Jim Davies, Brian Gough
*
* This program is free software; you can redistribute it and/or modify
* it under the terms of the GNU General Public License as published by
* the Free Software Foundation; either version 3 of the License, or (at
* your option) any later version.
*
* This program is distributed in the hope that it will be useful, but
* WITHOUT ANY WARRANTY; without even the implied warranty of
* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
* General Public License for more details.
*
* You should have received a copy of the GNU General Public License
* along with this program; if not, write to the Free Software
* Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301, USA.
*/
/* These tests are based on the NIST Statistical Reference Datasets
See http://www.nist.gov/itl/div898/strd/index.html for more
information. */
#include <config.h>
#include <stdlib.h>
#include <math.h>
#include <gsl/gsl_test.h>
#include <gsl/gsl_statistics.h>
#include <gsl/gsl_ieee_utils.h>
int test_nist (void);
int
test_nist (void)
{
size_t i ;
const size_t nlew = 200 ;
const double lew[200] = {
-213, -564, -35, -15, 141, 115, -420, -360, 203, -338, -431, 194,
-220, -513, 154, -125, -559, 92, -21, -579, -52, 99, -543, -175,
162, -457, -346, 204, -300, -474, 164, -107, -572, -8, 83, -541,
-224, 180, -420, -374, 201, -236, -531, 83, 27, -564, -112, 131,
-507, -254, 199, -311, -495, 143, -46, -579, -90, 136, -472, -338,
202, -287, -477, 169, -124, -568, 17, 48, -568, -135, 162, -430,
-422, 172, -74, -577, -13, 92, -534, -243, 194, -355, -465, 156,
-81, -578, -64, 139, -449, -384, 193, -198, -538, 110, -44, -577,
-6, 66, -552, -164, 161, -460, -344, 205, -281, -504, 134, -28,
-576, -118, 156, -437, -381, 200, -220, -540, 83, 11, -568, -160,
172, -414, -408, 188, -125, -572, -32, 139, -492, -321, 205, -262,
-504, 142, -83, -574, 0, 48, -571, -106, 137, -501, -266, 190,
-391, -406, 194, -186, -553, 83, -13, -577, -49, 103, -515, -280,
201, 300, -506, 131, -45, -578, -80, 138, -462, -361, 201, -211,
-554, 32, 74, -533, -235, 187, -372, -442, 182, -147, -566, 25,
68, -535, -244, 194, -351, -463, 174, -125, -570, 15, 72, -550,
-190, 172, -424, -385, 198, -218, -536, 96 } ;
const size_t nlottery = 218 ;
const double lottery[218] = {
162, 671, 933, 414, 788, 730, 817, 33, 536, 875, 670, 236, 473, 167,
877, 980, 316, 950, 456, 92, 517, 557, 956, 954, 104, 178, 794, 278,
147, 773, 437, 435, 502, 610, 582, 780, 689, 562, 964, 791, 28, 97,
848, 281, 858, 538, 660, 972, 671, 613, 867, 448, 738, 966, 139, 636,
847, 659, 754, 243, 122, 455, 195, 968, 793, 59, 730, 361, 574, 522,
97, 762, 431, 158, 429, 414, 22, 629, 788, 999, 187, 215, 810, 782,
47, 34, 108, 986, 25, 644, 829, 630, 315, 567, 919, 331, 207, 412,
242, 607, 668, 944, 749, 168, 864, 442, 533, 805, 372, 63, 458, 777,
416, 340, 436, 140, 919, 350, 510, 572, 905, 900, 85, 389, 473, 758,
444, 169, 625, 692, 140, 897, 672, 288, 312, 860, 724, 226, 884, 508,
976, 741, 476, 417, 831, 15, 318, 432, 241, 114, 799, 955, 833, 358,
935, 146, 630, 830, 440, 642, 356, 373, 271, 715, 367, 393, 190, 669,
8, 861, 108, 795, 269, 590, 326, 866, 64, 523, 862, 840, 219, 382,
998, 4, 628, 305, 747, 247, 34, 747, 729, 645, 856, 974, 24, 568, 24,
694, 608, 480, 410, 729, 947, 293, 53, 930, 223, 203, 677, 227, 62,
455, 387, 318, 562, 242, 428, 968 } ;
const size_t nmavro = 50 ;
const double mavro[50] = {
2.00180, 2.00170, 2.00180, 2.00190, 2.00180, 2.00170, 2.00150,
2.00140, 2.00150, 2.00150, 2.00170, 2.00180, 2.00180, 2.00190,
2.00190, 2.00210, 2.00200, 2.00160, 2.00140, 2.00130, 2.00130,
2.00150, 2.00150, 2.00160, 2.00150, 2.00140, 2.00130, 2.00140,
2.00150, 2.00140, 2.00150, 2.00160, 2.00150, 2.00160, 2.00190,
2.00200, 2.00200, 2.00210, 2.00220, 2.00230, 2.00240, 2.00250,
2.00270, 2.00260, 2.00260, 2.00260, 2.00270, 2.00260, 2.00250,
2.00240 } ;
const size_t nmichelson = 100 ;
const double michelson [100] = {
299.85, 299.74, 299.90, 300.07, 299.93, 299.85, 299.95, 299.98,
299.98, 299.88, 300.00, 299.98, 299.93, 299.65, 299.76, 299.81,
300.00, 300.00, 299.96, 299.96, 299.96, 299.94, 299.96, 299.94,
299.88, 299.80, 299.85, 299.88, 299.90, 299.84, 299.83, 299.79,
299.81, 299.88, 299.88, 299.83, 299.80, 299.79, 299.76, 299.80,
299.88, 299.88, 299.88, 299.86, 299.72, 299.72, 299.62, 299.86,
299.97, 299.95, 299.88, 299.91, 299.85, 299.87, 299.84, 299.84,
299.85, 299.84, 299.84, 299.84, 299.89, 299.81, 299.81, 299.82,
299.80, 299.77, 299.76, 299.74, 299.75, 299.76, 299.91, 299.92,
299.89, 299.86, 299.88, 299.72, 299.84, 299.85, 299.85, 299.78,
299.89, 299.84, 299.78, 299.81, 299.76, 299.81, 299.79, 299.81,
299.82, 299.85, 299.87, 299.87, 299.81, 299.74, 299.81, 299.94,
299.95, 299.80, 299.81, 299.87 } ;
const size_t npidigits = 5000 ;
const double pidigits [5000] = { 3, 1, 4, 1, 5, 9, 2, 6, 5, 3, 5, 8,
9, 7, 9, 3, 2, 3, 8, 4, 6, 2, 6, 4, 3, 3, 8, 3, 2, 7, 9, 5, 0, 2,
8, 8, 4, 1, 9, 7, 1, 6, 9, 3, 9, 9, 3, 7, 5, 1, 0, 5, 8, 2, 0, 9,
7, 4, 9, 4, 4, 5, 9, 2, 3, 0, 7, 8, 1, 6, 4, 0, 6, 2, 8, 6, 2, 0,
8, 9, 9, 8, 6, 2, 8, 0, 3, 4, 8, 2, 5, 3, 4, 2, 1, 1, 7, 0, 6, 7,
9, 8, 2, 1, 4, 8, 0, 8, 6, 5, 1, 3, 2, 8, 2, 3, 0, 6, 6, 4, 7, 0,
9, 3, 8, 4, 4, 6, 0, 9, 5, 5, 0, 5, 8, 2, 2, 3, 1, 7, 2, 5, 3, 5,
9, 4, 0, 8, 1, 2, 8, 4, 8, 1, 1, 1, 7, 4, 5, 0, 2, 8, 4, 1, 0, 2,
7, 0, 1, 9, 3, 8, 5, 2, 1, 1, 0, 5, 5, 5, 9, 6, 4, 4, 6, 2, 2, 9,
4, 8, 9, 5, 4, 9, 3, 0, 3, 8, 1, 9, 6, 4, 4, 2, 8, 8, 1, 0, 9, 7,
5, 6, 6, 5, 9, 3, 3, 4, 4, 6, 1, 2, 8, 4, 7, 5, 6, 4, 8, 2, 3, 3,
7, 8, 6, 7, 8, 3, 1, 6, 5, 2, 7, 1, 2, 0, 1, 9, 0, 9, 1, 4, 5, 6,
4, 8, 5, 6, 6, 9, 2, 3, 4, 6, 0, 3, 4, 8, 6, 1, 0, 4, 5, 4, 3, 2,
6, 6, 4, 8, 2, 1, 3, 3, 9, 3, 6, 0, 7, 2, 6, 0, 2, 4, 9, 1, 4, 1,
2, 7, 3, 7, 2, 4, 5, 8, 7, 0, 0, 6, 6, 0, 6, 3, 1, 5, 5, 8, 8, 1,
7, 4, 8, 8, 1, 5, 2, 0, 9, 2, 0, 9, 6, 2, 8, 2, 9, 2, 5, 4, 0, 9,
1, 7, 1, 5, 3, 6, 4, 3, 6, 7, 8, 9, 2, 5, 9, 0, 3, 6, 0, 0, 1, 1,
3, 3, 0, 5, 3, 0, 5, 4, 8, 8, 2, 0, 4, 6, 6, 5, 2, 1, 3, 8, 4, 1,
4, 6, 9, 5, 1, 9, 4, 1, 5, 1, 1, 6, 0, 9, 4, 3, 3, 0, 5, 7, 2, 7,
0, 3, 6, 5, 7, 5, 9, 5, 9, 1, 9, 5, 3, 0, 9, 2, 1, 8, 6, 1, 1, 7,
3, 8, 1, 9, 3, 2, 6, 1, 1, 7, 9, 3, 1, 0, 5, 1, 1, 8, 5, 4, 8, 0,
7, 4, 4, 6, 2, 3, 7, 9, 9, 6, 2, 7, 4, 9, 5, 6, 7, 3, 5, 1, 8, 8,
5, 7, 5, 2, 7, 2, 4, 8, 9, 1, 2, 2, 7, 9, 3, 8, 1, 8, 3, 0, 1, 1,
9, 4, 9, 1, 2, 9, 8, 3, 3, 6, 7, 3, 3, 6, 2, 4, 4, 0, 6, 5, 6, 6,
4, 3, 0, 8, 6, 0, 2, 1, 3, 9, 4, 9, 4, 6, 3, 9, 5, 2, 2, 4, 7, 3,
7, 1, 9, 0, 7, 0, 2, 1, 7, 9, 8, 6, 0, 9, 4, 3, 7, 0, 2, 7, 7, 0,
5, 3, 9, 2, 1, 7, 1, 7, 6, 2, 9, 3, 1, 7, 6, 7, 5, 2, 3, 8, 4, 6,
7, 4, 8, 1, 8, 4, 6, 7, 6, 6, 9, 4, 0, 5, 1, 3, 2, 0, 0, 0, 5, 6,
8, 1, 2, 7, 1, 4, 5, 2, 6, 3, 5, 6, 0, 8, 2, 7, 7, 8, 5, 7, 7, 1,
3, 4, 2, 7, 5, 7, 7, 8, 9, 6, 0, 9, 1, 7, 3, 6, 3, 7, 1, 7, 8, 7,
2, 1, 4, 6, 8, 4, 4, 0, 9, 0, 1, 2, 2, 4, 9, 5, 3, 4, 3, 0, 1, 4,
6, 5, 4, 9, 5, 8, 5, 3, 7, 1, 0, 5, 0, 7, 9, 2, 2, 7, 9, 6, 8, 9,
2, 5, 8, 9, 2, 3, 5, 4, 2, 0, 1, 9, 9, 5, 6, 1, 1, 2, 1, 2, 9, 0,
2, 1, 9, 6, 0, 8, 6, 4, 0, 3, 4, 4, 1, 8, 1, 5, 9, 8, 1, 3, 6, 2,
9, 7, 7, 4, 7, 7, 1, 3, 0, 9, 9, 6, 0, 5, 1, 8, 7, 0, 7, 2, 1, 1,
3, 4, 9, 9, 9, 9, 9, 9, 8, 3, 7, 2, 9, 7, 8, 0, 4, 9, 9, 5, 1, 0,
5, 9, 7, 3, 1, 7, 3, 2, 8, 1, 6, 0, 9, 6, 3, 1, 8, 5, 9, 5, 0, 2,
4, 4, 5, 9, 4, 5, 5, 3, 4, 6, 9, 0, 8, 3, 0, 2, 6, 4, 2, 5, 2, 2,
3, 0, 8, 2, 5, 3, 3, 4, 4, 6, 8, 5, 0, 3, 5, 2, 6, 1, 9, 3, 1, 1,
8, 8, 1, 7, 1, 0, 1, 0, 0, 0, 3, 1, 3, 7, 8, 3, 8, 7, 5, 2, 8, 8,
6, 5, 8, 7, 5, 3, 3, 2, 0, 8, 3, 8, 1, 4, 2, 0, 6, 1, 7, 1, 7, 7,
6, 6, 9, 1, 4, 7, 3, 0, 3, 5, 9, 8, 2, 5, 3, 4, 9, 0, 4, 2, 8, 7,
5, 5, 4, 6, 8, 7, 3, 1, 1, 5, 9, 5, 6, 2, 8, 6, 3, 8, 8, 2, 3, 5,
3, 7, 8, 7, 5, 9, 3, 7, 5, 1, 9, 5, 7, 7, 8, 1, 8, 5, 7, 7, 3, 0,
5, 3, 2, 1, 7, 1, 2, 2, 6, 8, 0, 6, 6, 1, 3, 0, 0, 1, 9, 2, 7, 8,
7, 6, 6, 1, 1, 1, 9, 5, 9, 0, 9, 2, 1, 6, 4, 2, 0, 1, 9, 8, 9, 3,
8, 0, 9, 5, 2, 5, 7, 2, 0, 1, 0, 6, 5, 4, 8, 5, 8, 6, 3, 2, 7, 8,
8, 6, 5, 9, 3, 6, 1, 5, 3, 3, 8, 1, 8, 2, 7, 9, 6, 8, 2, 3, 0, 3,
0, 1, 9, 5, 2, 0, 3, 5, 3, 0, 1, 8, 5, 2, 9, 6, 8, 9, 9, 5, 7, 7,
3, 6, 2, 2, 5, 9, 9, 4, 1, 3, 8, 9, 1, 2, 4, 9, 7, 2, 1, 7, 7, 5,
2, 8, 3, 4, 7, 9, 1, 3, 1, 5, 1, 5, 5, 7, 4, 8, 5, 7, 2, 4, 2, 4,
5, 4, 1, 5, 0, 6, 9, 5, 9, 5, 0, 8, 2, 9, 5, 3, 3, 1, 1, 6, 8, 6,
1, 7, 2, 7, 8, 5, 5, 8, 8, 9, 0, 7, 5, 0, 9, 8, 3, 8, 1, 7, 5, 4,
6, 3, 7, 4, 6, 4, 9, 3, 9, 3, 1, 9, 2, 5, 5, 0, 6, 0, 4, 0, 0, 9,
2, 7, 7, 0, 1, 6, 7, 1, 1, 3, 9, 0, 0, 9, 8, 4, 8, 8, 2, 4, 0, 1,
2, 8, 5, 8, 3, 6, 1, 6, 0, 3, 5, 6, 3, 7, 0, 7, 6, 6, 0, 1, 0, 4,
7, 1, 0, 1, 8, 1, 9, 4, 2, 9, 5, 5, 5, 9, 6, 1, 9, 8, 9, 4, 6, 7,
6, 7, 8, 3, 7, 4, 4, 9, 4, 4, 8, 2, 5, 5, 3, 7, 9, 7, 7, 4, 7, 2,
6, 8, 4, 7, 1, 0, 4, 0, 4, 7, 5, 3, 4, 6, 4, 6, 2, 0, 8, 0, 4, 6,
6, 8, 4, 2, 5, 9, 0, 6, 9, 4, 9, 1, 2, 9, 3, 3, 1, 3, 6, 7, 7, 0,
2, 8, 9, 8, 9, 1, 5, 2, 1, 0, 4, 7, 5, 2, 1, 6, 2, 0, 5, 6, 9, 6,
6, 0, 2, 4, 0, 5, 8, 0, 3, 8, 1, 5, 0, 1, 9, 3, 5, 1, 1, 2, 5, 3,
3, 8, 2, 4, 3, 0, 0, 3, 5, 5, 8, 7, 6, 4, 0, 2, 4, 7, 4, 9, 6, 4,
7, 3, 2, 6, 3, 9, 1, 4, 1, 9, 9, 2, 7, 2, 6, 0, 4, 2, 6, 9, 9, 2,
2, 7, 9, 6, 7, 8, 2, 3, 5, 4, 7, 8, 1, 6, 3, 6, 0, 0, 9, 3, 4, 1,
7, 2, 1, 6, 4, 1, 2, 1, 9, 9, 2, 4, 5, 8, 6, 3, 1, 5, 0, 3, 0, 2,
8, 6, 1, 8, 2, 9, 7, 4, 5, 5, 5, 7, 0, 6, 7, 4, 9, 8, 3, 8, 5, 0,
5, 4, 9, 4, 5, 8, 8, 5, 8, 6, 9, 2, 6, 9, 9, 5, 6, 9, 0, 9, 2, 7,
2, 1, 0, 7, 9, 7, 5, 0, 9, 3, 0, 2, 9, 5, 5, 3, 2, 1, 1, 6, 5, 3,
4, 4, 9, 8, 7, 2, 0, 2, 7, 5, 5, 9, 6, 0, 2, 3, 6, 4, 8, 0, 6, 6,
5, 4, 9, 9, 1, 1, 9, 8, 8, 1, 8, 3, 4, 7, 9, 7, 7, 5, 3, 5, 6, 6,
3, 6, 9, 8, 0, 7, 4, 2, 6, 5, 4, 2, 5, 2, 7, 8, 6, 2, 5, 5, 1, 8,
1, 8, 4, 1, 7, 5, 7, 4, 6, 7, 2, 8, 9, 0, 9, 7, 7, 7, 7, 2, 7, 9,
3, 8, 0, 0, 0, 8, 1, 6, 4, 7, 0, 6, 0, 0, 1, 6, 1, 4, 5, 2, 4, 9,
1, 9, 2, 1, 7, 3, 2, 1, 7, 2, 1, 4, 7, 7, 2, 3, 5, 0, 1, 4, 1, 4,
4, 1, 9, 7, 3, 5, 6, 8, 5, 4, 8, 1, 6, 1, 3, 6, 1, 1, 5, 7, 3, 5,
2, 5, 5, 2, 1, 3, 3, 4, 7, 5, 7, 4, 1, 8, 4, 9, 4, 6, 8, 4, 3, 8,
5, 2, 3, 3, 2, 3, 9, 0, 7, 3, 9, 4, 1, 4, 3, 3, 3, 4, 5, 4, 7, 7,
6, 2, 4, 1, 6, 8, 6, 2, 5, 1, 8, 9, 8, 3, 5, 6, 9, 4, 8, 5, 5, 6,
2, 0, 9, 9, 2, 1, 9, 2, 2, 2, 1, 8, 4, 2, 7, 2, 5, 5, 0, 2, 5, 4,
2, 5, 6, 8, 8, 7, 6, 7, 1, 7, 9, 0, 4, 9, 4, 6, 0, 1, 6, 5, 3, 4,
6, 6, 8, 0, 4, 9, 8, 8, 6, 2, 7, 2, 3, 2, 7, 9, 1, 7, 8, 6, 0, 8,
5, 7, 8, 4, 3, 8, 3, 8, 2, 7, 9, 6, 7, 9, 7, 6, 6, 8, 1, 4, 5, 4,
1, 0, 0, 9, 5, 3, 8, 8, 3, 7, 8, 6, 3, 6, 0, 9, 5, 0, 6, 8, 0, 0,
6, 4, 2, 2, 5, 1, 2, 5, 2, 0, 5, 1, 1, 7, 3, 9, 2, 9, 8, 4, 8, 9,
6, 0, 8, 4, 1, 2, 8, 4, 8, 8, 6, 2, 6, 9, 4, 5, 6, 0, 4, 2, 4, 1,
9, 6, 5, 2, 8, 5, 0, 2, 2, 2, 1, 0, 6, 6, 1, 1, 8, 6, 3, 0, 6, 7,
4, 4, 2, 7, 8, 6, 2, 2, 0, 3, 9, 1, 9, 4, 9, 4, 5, 0, 4, 7, 1, 2,
3, 7, 1, 3, 7, 8, 6, 9, 6, 0, 9, 5, 6, 3, 6, 4, 3, 7, 1, 9, 1, 7,
2, 8, 7, 4, 6, 7, 7, 6, 4, 6, 5, 7, 5, 7, 3, 9, 6, 2, 4, 1, 3, 8,
9, 0, 8, 6, 5, 8, 3, 2, 6, 4, 5, 9, 9, 5, 8, 1, 3, 3, 9, 0, 4, 7,
8, 0, 2, 7, 5, 9, 0, 0, 9, 9, 4, 6, 5, 7, 6, 4, 0, 7, 8, 9, 5, 1,
2, 6, 9, 4, 6, 8, 3, 9, 8, 3, 5, 2, 5, 9, 5, 7, 0, 9, 8, 2, 5, 8,
2, 2, 6, 2, 0, 5, 2, 2, 4, 8, 9, 4, 0, 7, 7, 2, 6, 7, 1, 9, 4, 7,
8, 2, 6, 8, 4, 8, 2, 6, 0, 1, 4, 7, 6, 9, 9, 0, 9, 0, 2, 6, 4, 0,
1, 3, 6, 3, 9, 4, 4, 3, 7, 4, 5, 5, 3, 0, 5, 0, 6, 8, 2, 0, 3, 4,
9, 6, 2, 5, 2, 4, 5, 1, 7, 4, 9, 3, 9, 9, 6, 5, 1, 4, 3, 1, 4, 2,
9, 8, 0, 9, 1, 9, 0, 6, 5, 9, 2, 5, 0, 9, 3, 7, 2, 2, 1, 6, 9, 6,
4, 6, 1, 5, 1, 5, 7, 0, 9, 8, 5, 8, 3, 8, 7, 4, 1, 0, 5, 9, 7, 8,
8, 5, 9, 5, 9, 7, 7, 2, 9, 7, 5, 4, 9, 8, 9, 3, 0, 1, 6, 1, 7, 5,
3, 9, 2, 8, 4, 6, 8, 1, 3, 8, 2, 6, 8, 6, 8, 3, 8, 6, 8, 9, 4, 2,
7, 7, 4, 1, 5, 5, 9, 9, 1, 8, 5, 5, 9, 2, 5, 2, 4, 5, 9, 5, 3, 9,
5, 9, 4, 3, 1, 0, 4, 9, 9, 7, 2, 5, 2, 4, 6, 8, 0, 8, 4, 5, 9, 8,
7, 2, 7, 3, 6, 4, 4, 6, 9, 5, 8, 4, 8, 6, 5, 3, 8, 3, 6, 7, 3, 6,
2, 2, 2, 6, 2, 6, 0, 9, 9, 1, 2, 4, 6, 0, 8, 0, 5, 1, 2, 4, 3, 8,
8, 4, 3, 9, 0, 4, 5, 1, 2, 4, 4, 1, 3, 6, 5, 4, 9, 7, 6, 2, 7, 8,
0, 7, 9, 7, 7, 1, 5, 6, 9, 1, 4, 3, 5, 9, 9, 7, 7, 0, 0, 1, 2, 9,
6, 1, 6, 0, 8, 9, 4, 4, 1, 6, 9, 4, 8, 6, 8, 5, 5, 5, 8, 4, 8, 4,
0, 6, 3, 5, 3, 4, 2, 2, 0, 7, 2, 2, 2, 5, 8, 2, 8, 4, 8, 8, 6, 4,
8, 1, 5, 8, 4, 5, 6, 0, 2, 8, 5, 0, 6, 0, 1, 6, 8, 4, 2, 7, 3, 9,
4, 5, 2, 2, 6, 7, 4, 6, 7, 6, 7, 8, 8, 9, 5, 2, 5, 2, 1, 3, 8, 5,
2, 2, 5, 4, 9, 9, 5, 4, 6, 6, 6, 7, 2, 7, 8, 2, 3, 9, 8, 6, 4, 5,
6, 5, 9, 6, 1, 1, 6, 3, 5, 4, 8, 8, 6, 2, 3, 0, 5, 7, 7, 4, 5, 6,
4, 9, 8, 0, 3, 5, 5, 9, 3, 6, 3, 4, 5, 6, 8, 1, 7, 4, 3, 2, 4, 1,
1, 2, 5, 1, 5, 0, 7, 6, 0, 6, 9, 4, 7, 9, 4, 5, 1, 0, 9, 6, 5, 9,
6, 0, 9, 4, 0, 2, 5, 2, 2, 8, 8, 7, 9, 7, 1, 0, 8, 9, 3, 1, 4, 5,
6, 6, 9, 1, 3, 6, 8, 6, 7, 2, 2, 8, 7, 4, 8, 9, 4, 0, 5, 6, 0, 1,
0, 1, 5, 0, 3, 3, 0, 8, 6, 1, 7, 9, 2, 8, 6, 8, 0, 9, 2, 0, 8, 7,
4, 7, 6, 0, 9, 1, 7, 8, 2, 4, 9, 3, 8, 5, 8, 9, 0, 0, 9, 7, 1, 4,
9, 0, 9, 6, 7, 5, 9, 8, 5, 2, 6, 1, 3, 6, 5, 5, 4, 9, 7, 8, 1, 8,
9, 3, 1, 2, 9, 7, 8, 4, 8, 2, 1, 6, 8, 2, 9, 9, 8, 9, 4, 8, 7, 2,
2, 6, 5, 8, 8, 0, 4, 8, 5, 7, 5, 6, 4, 0, 1, 4, 2, 7, 0, 4, 7, 7,
5, 5, 5, 1, 3, 2, 3, 7, 9, 6, 4, 1, 4, 5, 1, 5, 2, 3, 7, 4, 6, 2,
3, 4, 3, 6, 4, 5, 4, 2, 8, 5, 8, 4, 4, 4, 7, 9, 5, 2, 6, 5, 8, 6,
7, 8, 2, 1, 0, 5, 1, 1, 4, 1, 3, 5, 4, 7, 3, 5, 7, 3, 9, 5, 2, 3,
1, 1, 3, 4, 2, 7, 1, 6, 6, 1, 0, 2, 1, 3, 5, 9, 6, 9, 5, 3, 6, 2,
3, 1, 4, 4, 2, 9, 5, 2, 4, 8, 4, 9, 3, 7, 1, 8, 7, 1, 1, 0, 1, 4,
5, 7, 6, 5, 4, 0, 3, 5, 9, 0, 2, 7, 9, 9, 3, 4, 4, 0, 3, 7, 4, 2,
0, 0, 7, 3, 1, 0, 5, 7, 8, 5, 3, 9, 0, 6, 2, 1, 9, 8, 3, 8, 7, 4,
4, 7, 8, 0, 8, 4, 7, 8, 4, 8, 9, 6, 8, 3, 3, 2, 1, 4, 4, 5, 7, 1,
3, 8, 6, 8, 7, 5, 1, 9, 4, 3, 5, 0, 6, 4, 3, 0, 2, 1, 8, 4, 5, 3,
1, 9, 1, 0, 4, 8, 4, 8, 1, 0, 0, 5, 3, 7, 0, 6, 1, 4, 6, 8, 0, 6,
7, 4, 9, 1, 9, 2, 7, 8, 1, 9, 1, 1, 9, 7, 9, 3, 9, 9, 5, 2, 0, 6,
1, 4, 1, 9, 6, 6, 3, 4, 2, 8, 7, 5, 4, 4, 4, 0, 6, 4, 3, 7, 4, 5,
1, 2, 3, 7, 1, 8, 1, 9, 2, 1, 7, 9, 9, 9, 8, 3, 9, 1, 0, 1, 5, 9,
1, 9, 5, 6, 1, 8, 1, 4, 6, 7, 5, 1, 4, 2, 6, 9, 1, 2, 3, 9, 7, 4,
8, 9, 4, 0, 9, 0, 7, 1, 8, 6, 4, 9, 4, 2, 3, 1, 9, 6, 1, 5, 6, 7,
9, 4, 5, 2, 0, 8, 0, 9, 5, 1, 4, 6, 5, 5, 0, 2, 2, 5, 2, 3, 1, 6,
0, 3, 8, 8, 1, 9, 3, 0, 1, 4, 2, 0, 9, 3, 7, 6, 2, 1, 3, 7, 8, 5,
5, 9, 5, 6, 6, 3, 8, 9, 3, 7, 7, 8, 7, 0, 8, 3, 0, 3, 9, 0, 6, 9,
7, 9, 2, 0, 7, 7, 3, 4, 6, 7, 2, 2, 1, 8, 2, 5, 6, 2, 5, 9, 9, 6,
6, 1, 5, 0, 1, 4, 2, 1, 5, 0, 3, 0, 6, 8, 0, 3, 8, 4, 4, 7, 7, 3,
4, 5, 4, 9, 2, 0, 2, 6, 0, 5, 4, 1, 4, 6, 6, 5, 9, 2, 5, 2, 0, 1,
4, 9, 7, 4, 4, 2, 8, 5, 0, 7, 3, 2, 5, 1, 8, 6, 6, 6, 0, 0, 2, 1,
3, 2, 4, 3, 4, 0, 8, 8, 1, 9, 0, 7, 1, 0, 4, 8, 6, 3, 3, 1, 7, 3,
4, 6, 4, 9, 6, 5, 1, 4, 5, 3, 9, 0, 5, 7, 9, 6, 2, 6, 8, 5, 6, 1,
0, 0, 5, 5, 0, 8, 1, 0, 6, 6, 5, 8, 7, 9, 6, 9, 9, 8, 1, 6, 3, 5,
7, 4, 7, 3, 6, 3, 8, 4, 0, 5, 2, 5, 7, 1, 4, 5, 9, 1, 0, 2, 8, 9,
7, 0, 6, 4, 1, 4, 0, 1, 1, 0, 9, 7, 1, 2, 0, 6, 2, 8, 0, 4, 3, 9,
0, 3, 9, 7, 5, 9, 5, 1, 5, 6, 7, 7, 1, 5, 7, 7, 0, 0, 4, 2, 0, 3,
3, 7, 8, 6, 9, 9, 3, 6, 0, 0, 7, 2, 3, 0, 5, 5, 8, 7, 6, 3, 1, 7,
6, 3, 5, 9, 4, 2, 1, 8, 7, 3, 1, 2, 5, 1, 4, 7, 1, 2, 0, 5, 3, 2,
9, 2, 8, 1, 9, 1, 8, 2, 6, 1, 8, 6, 1, 2, 5, 8, 6, 7, 3, 2, 1, 5,
7, 9, 1, 9, 8, 4, 1, 4, 8, 4, 8, 8, 2, 9, 1, 6, 4, 4, 7, 0, 6, 0,
9, 5, 7, 5, 2, 7, 0, 6, 9, 5, 7, 2, 2, 0, 9, 1, 7, 5, 6, 7, 1, 1,
6, 7, 2, 2, 9, 1, 0, 9, 8, 1, 6, 9, 0, 9, 1, 5, 2, 8, 0, 1, 7, 3,
5, 0, 6, 7, 1, 2, 7, 4, 8, 5, 8, 3, 2, 2, 2, 8, 7, 1, 8, 3, 5, 2,
0, 9, 3, 5, 3, 9, 6, 5, 7, 2, 5, 1, 2, 1, 0, 8, 3, 5, 7, 9, 1, 5,
1, 3, 6, 9, 8, 8, 2, 0, 9, 1, 4, 4, 4, 2, 1, 0, 0, 6, 7, 5, 1, 0,
3, 3, 4, 6, 7, 1, 1, 0, 3, 1, 4, 1, 2, 6, 7, 1, 1, 1, 3, 6, 9, 9,
0, 8, 6, 5, 8, 5, 1, 6, 3, 9, 8, 3, 1, 5, 0, 1, 9, 7, 0, 1, 6, 5,
1, 5, 1, 1, 6, 8, 5, 1, 7, 1, 4, 3, 7, 6, 5, 7, 6, 1, 8, 3, 5, 1,
5, 5, 6, 5, 0, 8, 8, 4, 9, 0, 9, 9, 8, 9, 8, 5, 9, 9, 8, 2, 3, 8,
7, 3, 4, 5, 5, 2, 8, 3, 3, 1, 6, 3, 5, 5, 0, 7, 6, 4, 7, 9, 1, 8,
5, 3, 5, 8, 9, 3, 2, 2, 6, 1, 8, 5, 4, 8, 9, 6, 3, 2, 1, 3, 2, 9,
3, 3, 0, 8, 9, 8, 5, 7, 0, 6, 4, 2, 0, 4, 6, 7, 5, 2, 5, 9, 0, 7,
0, 9, 1, 5, 4, 8, 1, 4, 1, 6, 5, 4, 9, 8, 5, 9, 4, 6, 1, 6, 3, 7,
1, 8, 0, 2, 7, 0, 9, 8, 1, 9, 9, 4, 3, 0, 9, 9, 2, 4, 4, 8, 8, 9,
5, 7, 5, 7, 1, 2, 8, 2, 8, 9, 0, 5, 9, 2, 3, 2, 3, 3, 2, 6, 0, 9,
7, 2, 9, 9, 7, 1, 2, 0, 8, 4, 4, 3, 3, 5, 7, 3, 2, 6, 5, 4, 8, 9,
3, 8, 2, 3, 9, 1, 1, 9, 3, 2, 5, 9, 7, 4, 6, 3, 6, 6, 7, 3, 0, 5,
8, 3, 6, 0, 4, 1, 4, 2, 8, 1, 3, 8, 8, 3, 0, 3, 2, 0, 3, 8, 2, 4,
9, 0, 3, 7, 5, 8, 9, 8, 5, 2, 4, 3, 7, 4, 4, 1, 7, 0, 2, 9, 1, 3,
2, 7, 6, 5, 6, 1, 8, 0, 9, 3, 7, 7, 3, 4, 4, 4, 0, 3, 0, 7, 0, 7,
4, 6, 9, 2, 1, 1, 2, 0, 1, 9, 1, 3, 0, 2, 0, 3, 3, 0, 3, 8, 0, 1,
9, 7, 6, 2, 1, 1, 0, 1, 1, 0, 0, 4, 4, 9, 2, 9, 3, 2, 1, 5, 1, 6,
0, 8, 4, 2, 4, 4, 4, 8, 5, 9, 6, 3, 7, 6, 6, 9, 8, 3, 8, 9, 5, 2,
2, 8, 6, 8, 4, 7, 8, 3, 1, 2, 3, 5, 5, 2, 6, 5, 8, 2, 1, 3, 1, 4,
4, 9, 5, 7, 6, 8, 5, 7, 2, 6, 2, 4, 3, 3, 4, 4, 1, 8, 9, 3, 0, 3,
9, 6, 8, 6, 4, 2, 6, 2, 4, 3, 4, 1, 0, 7, 7, 3, 2, 2, 6, 9, 7, 8,
0, 2, 8, 0, 7, 3, 1, 8, 9, 1, 5, 4, 4, 1, 1, 0, 1, 0, 4, 4, 6, 8,
2, 3, 2, 5, 2, 7, 1, 6, 2, 0, 1, 0, 5, 2, 6, 5, 2, 2, 7, 2, 1, 1,
1, 6, 6, 0, 3, 9, 6, 6, 6, 5, 5, 7, 3, 0, 9, 2, 5, 4, 7, 1, 1, 0,
5, 5, 7, 8, 5, 3, 7, 6, 3, 4, 6, 6, 8, 2, 0, 6, 5, 3, 1, 0, 9, 8,
9, 6, 5, 2, 6, 9, 1, 8, 6, 2, 0, 5, 6, 4, 7, 6, 9, 3, 1, 2, 5, 7,
0, 5, 8, 6, 3, 5, 6, 6, 2, 0, 1, 8, 5, 5, 8, 1, 0, 0, 7, 2, 9, 3,
6, 0, 6, 5, 9, 8, 7, 6, 4, 8, 6, 1, 1, 7, 9, 1, 0, 4, 5, 3, 3, 4,
8, 8, 5, 0, 3, 4, 6, 1, 1, 3, 6, 5, 7, 6, 8, 6, 7, 5, 3, 2, 4, 9,
4, 4, 1, 6, 6, 8, 0, 3, 9, 6, 2, 6, 5, 7, 9, 7, 8, 7, 7, 1, 8, 5,
5, 6, 0, 8, 4, 5, 5, 2, 9, 6, 5, 4, 1, 2, 6, 6, 5, 4, 0, 8, 5, 3,
0, 6, 1, 4, 3, 4, 4, 4, 3, 1, 8, 5, 8, 6, 7, 6, 9, 7, 5, 1, 4, 5,
6, 6, 1, 4, 0, 6, 8, 0, 0, 7, 0, 0, 2, 3, 7, 8, 7, 7, 6, 5, 9, 1,
3, 4, 4, 0, 1, 7, 1, 2, 7, 4, 9, 4, 7, 0, 4, 2, 0, 5, 6, 2, 2, 3,
0, 5, 3, 8, 9, 9, 4, 5, 6, 1, 3, 1, 4, 0, 7, 1, 1, 2, 7, 0, 0, 0,
4, 0, 7, 8, 5, 4, 7, 3, 3, 2, 6, 9, 9, 3, 9, 0, 8, 1, 4, 5, 4, 6,
6, 4, 6, 4, 5, 8, 8, 0, 7, 9, 7, 2, 7, 0, 8, 2, 6, 6, 8, 3, 0, 6,
3, 4, 3, 2, 8, 5, 8, 7, 8, 5, 6, 9, 8, 3, 0, 5, 2, 3, 5, 8, 0, 8,
9, 3, 3, 0, 6, 5, 7, 5, 7, 4, 0, 6, 7, 9, 5, 4, 5, 7, 1, 6, 3, 7,
7, 5, 2, 5, 4, 2, 0, 2, 1, 1, 4, 9, 5, 5, 7, 6, 1, 5, 8, 1, 4, 0,
0, 2, 5, 0, 1, 2, 6, 2, 2, 8, 5, 9, 4, 1, 3, 0, 2, 1, 6, 4, 7, 1,
5, 5, 0, 9, 7, 9, 2, 5, 9, 2, 3, 0, 9, 9, 0, 7, 9, 6, 5, 4, 7, 3,
7, 6, 1, 2, 5, 5, 1, 7, 6, 5, 6, 7, 5, 1, 3, 5, 7, 5, 1, 7, 8, 2,
9, 6, 6, 6, 4, 5, 4, 7, 7, 9, 1, 7, 4, 5, 0, 1, 1, 2, 9, 9, 6, 1,
4, 8, 9, 0, 3, 0, 4, 6, 3, 9, 9, 4, 7, 1, 3, 2, 9, 6, 2, 1, 0, 7,
3, 4, 0, 4, 3, 7, 5, 1, 8, 9, 5, 7, 3, 5, 9, 6, 1, 4, 5, 8, 9, 0,
1, 9, 3, 8, 9, 7, 1, 3, 1, 1, 1, 7, 9, 0, 4, 2, 9, 7, 8, 2, 8, 5,
6, 4, 7, 5, 0, 3, 2, 0, 3, 1, 9, 8, 6, 9, 1, 5, 1, 4, 0, 2, 8, 7,
0, 8, 0, 8, 5, 9, 9, 0, 4, 8, 0, 1, 0, 9, 4, 1, 2, 1, 4, 7, 2, 2,
1, 3, 1, 7, 9, 4, 7, 6, 4, 7, 7, 7, 2, 6, 2, 2, 4, 1, 4, 2, 5, 4,
8, 5, 4, 5, 4, 0, 3, 3, 2, 1, 5, 7, 1, 8, 5, 3, 0, 6, 1, 4, 2, 2,
8, 8, 1, 3, 7, 5, 8, 5, 0, 4, 3, 0, 6, 3, 3, 2, 1, 7, 5, 1, 8, 2,
9, 7, 9, 8, 6, 6, 2, 2, 3, 7, 1, 7, 2, 1, 5, 9, 1, 6, 0, 7, 7, 1,
6, 6, 9, 2, 5, 4, 7, 4, 8, 7, 3, 8, 9, 8, 6, 6, 5, 4, 9, 4, 9, 4,
5, 0, 1, 1, 4, 6, 5, 4, 0, 6, 2, 8, 4, 3, 3, 6, 6, 3, 9, 3, 7, 9,
0, 0, 3, 9, 7, 6, 9, 2, 6, 5, 6, 7, 2, 1, 4, 6, 3, 8, 5, 3, 0, 6,
7, 3, 6, 0, 9, 6, 5, 7, 1, 2, 0, 9, 1, 8, 0, 7, 6, 3, 8, 3, 2, 7,
1, 6, 6, 4, 1, 6, 2, 7, 4, 8, 8, 8, 8, 0, 0, 7, 8, 6, 9, 2, 5, 6,
0, 2, 9, 0, 2, 2, 8, 4, 7, 2, 1, 0, 4, 0, 3, 1, 7, 2, 1, 1, 8, 6,
0, 8, 2, 0, 4, 1, 9, 0, 0, 0, 4, 2, 2, 9, 6, 6, 1, 7, 1, 1, 9, 6,
3, 7, 7, 9, 2, 1, 3, 3, 7, 5, 7, 5, 1, 1, 4, 9, 5, 9, 5, 0, 1, 5,
6, 6, 0, 4, 9, 6, 3, 1, 8, 6, 2, 9, 4, 7, 2, 6, 5, 4, 7, 3, 6, 4,
2, 5, 2, 3, 0, 8, 1, 7, 7, 0, 3, 6, 7, 5, 1, 5, 9, 0, 6, 7, 3, 5,
0, 2, 3, 5, 0, 7, 2, 8, 3, 5, 4, 0, 5, 6, 7, 0, 4, 0, 3, 8, 6, 7,
4, 3, 5, 1, 3, 6, 2, 2, 2, 2, 4, 7, 7, 1, 5, 8, 9, 1, 5, 0, 4, 9,
5, 3, 0, 9, 8, 4, 4, 4, 8, 9, 3, 3, 3, 0, 9, 6, 3, 4, 0, 8, 7, 8,
0, 7, 6, 9, 3, 2, 5, 9, 9, 3, 9, 7, 8, 0, 5, 4, 1, 9, 3, 4, 1, 4,
4, 7, 3, 7, 7, 4, 4, 1, 8, 4, 2, 6, 3, 1, 2, 9, 8, 6, 0, 8, 0, 9,
9, 8, 8, 8, 6, 8, 7, 4, 1, 3, 2, 6, 0, 4, 7, 2 } ;
const size_t nacc1 = 3 ;
const double numacc1[3] = { 10000001, 10000003, 10000002 } ;
const size_t nacc2 = 1001 ;
double numacc2[1001] ;
const size_t nacc3 = 1001 ;
double numacc3[1001] ;
const size_t nacc4 = 1001 ;
double numacc4[1001] ;
numacc2[0] = 1.2 ;
numacc3[0] = 1000000.2 ;
numacc4[0] = 10000000.2 ;
for (i = 1 ; i < 1000 ; i += 2)
{
numacc2[i] = 1.1 ;
numacc2[i+1] = 1.3 ;
numacc3[i] = 1000000.1 ;
numacc3[i+1] = 1000000.3 ;
numacc4[i] = 10000000.1 ;
numacc4[i+1] = 10000000.3 ;
}
gsl_ieee_env_setup ();
{
double mean = gsl_stats_mean (lew, 1, nlew);
double sd = gsl_stats_sd (lew, 1, nlew);
double lag1 = gsl_stats_lag1_autocorrelation (lew, 1, nlew);
double expected_mean = -177.435000000000;
double expected_sd = 277.332168044316;
double expected_lag1 = -0.307304800605679;
gsl_test_rel (mean, expected_mean, 1e-15, "lew gsl_stats_mean") ;
gsl_test_rel (sd, expected_sd, 1e-15, "lew gsl_stats_sd") ;
gsl_test_rel (lag1, expected_lag1, 1e-14, "lew autocorrelation") ;
}
{
double mean = gsl_stats_mean (lottery, 1, nlottery);
double sd = gsl_stats_sd (lottery, 1, nlottery);
double lag1 = gsl_stats_lag1_autocorrelation (lottery, 1, nlottery);
double expected_mean = 518.958715596330;
double expected_sd = 291.699727470969;
double expected_lag1 = -0.120948622967393;
gsl_test_rel (mean, expected_mean, 1e-15, "lottery gsl_stats_mean") ;
gsl_test_rel (sd, expected_sd, 1e-15, "lottery gsl_stats_sd") ;
gsl_test_rel (lag1, expected_lag1, 1e-14, "lottery autocorrelation") ;
}
{
double mean = gsl_stats_mean (mavro, 1, nmavro);
double sd = gsl_stats_sd (mavro, 1, nmavro);
double lag1 = gsl_stats_lag1_autocorrelation (mavro, 1, nmavro);
double expected_mean = 2.00185600000000;
double expected_sd = 0.000429123454003053;
double expected_lag1 = 0.937989183438248;
gsl_test_rel (mean, expected_mean, 1e-15, "mavro gsl_stats_mean") ;
gsl_test_rel (sd, expected_sd, 1e-13, "mavro gsl_stats_sd") ;
gsl_test_rel (lag1, expected_lag1, 1e-13, "mavro autocorrelation") ;
}
{
double mean = gsl_stats_mean (michelson, 1, nmichelson);
double sd = gsl_stats_sd (michelson, 1, nmichelson);
double lag1 = gsl_stats_lag1_autocorrelation (michelson, 1, nmichelson);
double expected_mean = 299.852400000000;
double expected_sd = 0.0790105478190518;
double expected_lag1 = 0.535199668621283;
gsl_test_rel (mean, expected_mean, 1e-15, "michelson gsl_stats_mean") ;
gsl_test_rel (sd, expected_sd, 1e-13, "michelson gsl_stats_sd") ;
gsl_test_rel (lag1, expected_lag1, 1e-13, "michelson autocorrelation") ;
}
{
double mean = gsl_stats_mean (pidigits, 1, npidigits);
double sd = gsl_stats_sd (pidigits, 1, npidigits);
double lag1 = gsl_stats_lag1_autocorrelation (pidigits, 1, npidigits);
double expected_mean = 4.53480000000000;
double expected_sd = 2.86733906028871;
double expected_lag1 = -0.00355099287237972;
gsl_test_rel (mean, expected_mean, 1e-14, "pidigits gsl_stats_mean") ;
gsl_test_rel (sd, expected_sd, 1e-15, "pidigits gsl_stats_sd") ;
gsl_test_rel (lag1, expected_lag1, 1e-14, "pidigits autocorrelation") ;
}
{
double mean = gsl_stats_mean (numacc1, 1, nacc1);
double sd = gsl_stats_sd (numacc1, 1, nacc1);
double lag1 = gsl_stats_lag1_autocorrelation (numacc1, 1, nacc1);
double expected_mean = 10000002;
double expected_sd = 1;
double expected_lag1 = -0.5;
gsl_test_rel (mean, expected_mean, 1e-15, "acc1 gsl_stats_mean") ;
gsl_test_rel (sd, expected_sd, 1e-15, "acc1 gsl_stats_sd") ;
gsl_test_rel (lag1, expected_lag1, 1e-15, "acc1 autocorrelation") ;
}
{
double mean = gsl_stats_mean (numacc2, 1, nacc2);
double sd = gsl_stats_sd (numacc2, 1, nacc2);
double lag1 = gsl_stats_lag1_autocorrelation (numacc2, 1, nacc2);
double expected_mean = 1.2;
double expected_sd = 0.1;
double expected_lag1 = -0.999;
gsl_test_rel (mean, expected_mean, 1e-15, "acc2 gsl_stats_mean") ;
gsl_test_rel (sd, expected_sd, 1e-15, "acc2 gsl_stats_sd") ;
gsl_test_rel (lag1, expected_lag1, 1e-10, "acc2 autocorrelation") ;
}
{
double mean = gsl_stats_mean (numacc3, 1, nacc3);
double sd = gsl_stats_sd (numacc3, 1, nacc3);
double lag1 = gsl_stats_lag1_autocorrelation (numacc3, 1, nacc3);
double expected_mean = 1000000.2;
double expected_sd = 0.1;
double expected_lag1 = -0.999;
gsl_test_rel (mean, expected_mean, 1e-15, "acc3 gsl_stats_mean") ;
gsl_test_rel (sd, expected_sd, 1e-9, "acc3 gsl_stats_sd") ;
gsl_test_rel (lag1, expected_lag1, 1e-10, "acc3 autocorrelation") ;
}
{
double mean = gsl_stats_mean (numacc4, 1, nacc4);
double sd = gsl_stats_sd (numacc4, 1, nacc4);
double lag1 = gsl_stats_lag1_autocorrelation (numacc4, 1, nacc4);
double expected_mean = 10000000.2;
double expected_sd = 0.1;
double expected_lag1 = -0.999;
gsl_test_rel (mean, expected_mean, 1e-15, "acc4 gsl_stats_mean") ;
gsl_test_rel (sd, expected_sd, 1e-7, "acc4 gsl_stats_sd") ;
gsl_test_rel (lag1, expected_lag1, 1e-10, "acc4 autocorrelation") ;
}
return 0;
}